2007-11-11 05:08:59 · 7 answers · asked by Anonymous in Food & Drink ➔ Vegetarian & Vegan
yes.
2007-11-11 05:10:53 · answer #1 · answered by Anonymous · 0⤊ 0⤋
It's obvious, but since this is a food and drink, vegetarian & vegan forum...
lim ( ( x - sin x )/x^3 ) when xâ0 = TVP
Edit:
I'm impressed that Zor and Madhukar can be so quick with they typing.
Zor uses the power series approximation and Madhukar uses trigometric identities and the squeeze thereom/sandwich thereom to come up with the answer.
However, for this forum, I stand by my answer.
2007-11-11 13:16:19 · answer #2 · answered by Dave C 7 · 2⤊ 1⤋
lim ( ( x - sin x )/x^3 ) when xâ0
By L'Hospital's Theorem,
limit
= lim [(1 - cos x) / 3x^2] ( x â 0 )
= lim 2sin^2 (x/2) / 12 (x/2)^2 ( x â 0 )
= (1/6) [ lim (sin (x/2) / (x/2) ]^2 ( x â 0 )
= 1/6
2007-11-11 13:16:30 · answer #3 · answered by Madhukar 7 · 3⤊ 1⤋
Lancenigo di Villorba (TV), Italy
The MacLaurin limited series may be stopped at third level
sin x = x - (x^3) / 6 + ....
Starting from the previous writing, I will get you
((x - sin x)) / x^3) = 1 / 6
I hope this helps you.
2007-11-11 13:12:59 · answer #4 · answered by Zor Prime 7 · 2⤊ 0⤋
yes
2007-11-11 13:11:22 · answer #5 · answered by Anonymous · 0⤊ 0⤋
no it will collapse on itself
2007-11-11 13:15:51 · answer #6 · answered by iuberpwnyou 2 · 0⤊ 0⤋
Vegan.
Wait, what?
2007-11-11 18:14:48 · answer #7 · answered by Jessica 4 · 0⤊ 0⤋